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Finding the Third Proportional to 130,338 and 282,351.75

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Solution

The third proportional to 130,338 and 282,351.75 is: 611,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,338 : 282,351.75 = 282,351.75 : x
  2. Step 2: Convert to fraction form
    130,338/282,351.75 = 282,351.75/x
  3. Step 3: Cross multiply
    130,338x = 282,351.75 × 282,351.75
  4. Step 4: Simplify right side
    130,338x = 79,722,510,728.06
  5. Step 5: Solve for x
    x = 79,722,510,728.06/130,338
  6. Step 6: Final answer
    x = 611,659.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.